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Simplifying 5(x + -2) + -2(x + -7) = 3x + 9 Reorder the terms: 5(-2 + x) + -2(x + -7) = 3x + 9 (-2 * 5 + x * 5) + -2(x + -7) = 3x + 9 (-10 + 5x) + -2(x + -7) = 3x + 9 Reorder the terms: -10 + 5x + -2(-7 + x) = 3x + 9 -10 + 5x + (-7 * -2 + x * -2) = 3x + 9 -10 + 5x + (14 + -2x) = 3x + 9 Reorder the terms: -10 + 14 + 5x + -2x = 3x + 9 Combine like terms: -10 + 14 = 4 4 + 5x + -2x = 3x + 9 Combine like terms: 5x + -2x = 3x 4 + 3x = 3x + 9 Reorder the terms: 4 + 3x = 9 + 3x Add '-3x' to each side of the equation. 4 + 3x + -3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 0 = 9 + 3x + -3x 4 = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 = 9 + 0 4 = 9 Solving 4 = 9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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